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Blocking problem 6.20 in two Incomplete Blocks and…….

Blocking problem 6.20 in two Incomplete Blocks and……. Reality strikes…. Block on a term which is likely insignificant. A*B*C*D is the least likely (we hope) to be insignificant so let’s use that to “block” on.

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Blocking problem 6.20 in two Incomplete Blocks and…….

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  1. Blocking problem 6.20 in two Incomplete Blocks and……. Reality strikes…..

  2. Block on a term which is likely insignificant. • A*B*C*D is the least likely (we hope) to be insignificant so let’s use that to “block” on. • How do we do that? Use the contrast for that interaction to divide the treatment combinations into two groups of size 8. • Why? A*B*C*D will then be completely confounded with Block.

  3. Block 1

  4. Block 2

  5. New ANOVA with Block

  6. Main Effects

  7. Laser Power*Cell Size

  8. What would happen if your budget were suddenly cut (yeah, it happens a lot) …. • Probably run a ½ Fraction of the experiment. • Which half? • Either Block 1 or Block 2.

  9. What can be estimated? Answer: Only Main Effects. Question: There must be confounding so how do we know what is confounded with what? Answer: The All Powerful Identity Equation!!!! I=A*B*C*D A=B*C*D A*B=C*D, etc.

  10. What does Block 1 data alone tell us?

  11. What does Block 2 data alone tell us?

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